data:
- - Lhash: dirichlet_L_1480.867
    a10:
    - 1.0
    - -2.8163065144692913e-30
    a2:
    - 1.0
    - -2.8163065144692913e-30
    a3:
    - -0.6427876096865394
    - -0.766044443118978
    a4:
    - 1.0
    - -2.8163065144692913e-30
    a5:
    - 1.0
    - -2.8163065144692913e-30
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - -0.3420201433256687
    - 0.9396926207859084
    a8:
    - 1.0
    - -2.8163065144692913e-30
    a9:
    - -0.17364817766693036
    - 0.984807753012208
    algebraic: true
    analytic_conductor: 6.87309110492009
    analytic_normalization: 0
    bad_lfactors:
    - - 2
      - - 1
    - - 5
      - - 1
    - - 37
      - - 1
    bad_primes:
    - 2
    - 5
    - 37
    central_character: '1480.867'
    coeff_info:
    - x^36 - 1
    - 0.984807753012208 + 0.173648177666930*I
    - \\zeta_{36}
    conductor: 1480
    conductor_radical: 370
    conjugate: dirichlet_L_1480.1043
    degree: 1
    dirichlet_coefficients:
    - a^0
    - 0
    - a^23
    - 0
    - 0
    - 0
    - a^47
    - 0
    - a^10
    - 0
    - a^12
    - 0
    - a^53
    - 0
    - 0
    - 0
    - a^1
    - 0
    - a^14
    - 0
    - a^34
    - 0
    - a^33
    - 0
    - 0
    - 0
    - a^33
    - 0
    - a^48
    - 0
    - a^18
    - 0
    - a^35
    - 0
    - 0
    - 0
    - 0
    - 0
    - a^40
    - 0
    - a^8
    - 0
    - a^27
    - 0
    - 0
    - 0
    - a^51
    - 0
    - a^22
    - 0
    - a^24
    - 0
    - a^25
    - 0
    - 0
    - 0
    - a^1
    - 0
    - a^34
    - 0
    - a^26
    - 0
    - a^21
    - 0
    - 0
    - 0
    - a^29
    - 0
    - a^20
    - 0
    - a^50
    - 0
    - a^27
    - 0
    - 0
    - 0
    - a^23
    - 0
    - a^20
    - 0
    - a^20
    - 0
    - a^19
    - 0
    - 0
    - 0
    - a^35
    - 0
    - a^34
    - 0
    - a^28
    - 0
    - a^41
    - 0
    - 0
    - 0
    - a^33
    - 0
    - a^22
    - 0
    euler_factors:
    - - 0
    - - 1
      - a^23
    - - 0
    - - 1
      - a^47
    - - 1
      - a^12
    - - 1
      - a^53
    - - 1
      - a^1
    - - 1
      - a^14
    - - 1
      - a^33
    - - 1
      - a^48
    - - 1
      - a^18
    - - 0
    - - 1
      - a^8
    - - 1
      - a^27
    - - 1
      - a^51
    - - 1
      - a^25
    - - 1
      - a^34
    - - 1
      - a^26
    - - 1
      - a^29
    - - 1
      - a^50
    - - 1
      - a^27
    - - 1
      - a^20
    - - 1
      - a^19
    - - 1
      - a^34
    - - 1
      - a^33
    - - 1
      - a^42
    gamma_factors:
    - - 0
    - []
    id: 404112
    index: 0
    label: 1-1480-1480.867-r0-0-0
    leading_term: 0.00180334686254242064482661742014+0.0136737111129303102094812164010*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/1480/867
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - -0.013792114975830345
    - -0.8124351956383227
    - -1.7828925437215395
    - -2.2777977127930003
    - -1.6997598020082307
    - -0.32606541271869116
    - 0.7102044067913686
    - 0.3772546785755693
    - -1.1316936089583236
    - -2.265409951602972
    - -1.3874487632401258
    - 1.5488479936237176
    - 4.612556191172468
    - 5.459152678702122
    - 3.5257030302001002
    - 0.6411407088483424
    - -0.7404038536599004
    - 0.03325065148346504
    - 1.309879110532707
    - 1.1470788090419308
    - -0.41310204794785244
    - -1.4722883039365475
    - -0.7059574974946301
    - 0.850117390613665
    - 0.9925223120912852
    - -0.7760384118106851
    - -2.3056134680798444
    - -1.2680688864991354
    - 1.7870609357722211
    - 3.7052137333011816
    - 2.3480170069945565
    - -0.7323236040846663
    - -2.0099656963679458
    - -0.18001998678187603
    - 2.3211922216511507
    - 2.395768315668562
    - 0.07239839045149835
    - -1.789365134329338
    - -1.3271833576467797
    - 0.13655073670106568
    - 0.3898414239267105
    - -0.27086697250065755
    - 0.5151778777773682
    - 3.3927743747198478
    - 5.664536374437742
    - 4.583886285980652
    - 1.3073268808598828
    - -0.188667075907203
    - 1.7823702794639151
    - 4.301600020672634
    - 3.6678593266757393
    - 0.3149571268084684
    - -1.8672626229049742
    - -0.8262039199159713
    - 1.1066369176468192
    - 0.8088601668439359
    - -1.2246007276882356
    - -1.9495255040912673
    - -0.46634453610411525
    - 0.7867097732855262
    - 0.04919921628015396
    - -0.8534106862923208
    - 0.5602061778080797
    - 3.005487575563567
    - 2.6414802318758928
    - -1.2514640493008995
    - -4.4898964677016835
    - -3.301102740274158
    - 0.5385244611535134
    - 2.1683074514187464
    - 0.25422787385410606
    - -1.6990936842791406
    - -0.8836410487729289
    - 0.9023948385142988
    - 0.5847947931355052
    - -1.1893875869012118
    - -1.253536568511072
    - 0.7899244849380911
    - 1.7993522716673298
    - 0.15860648607247432
    - -1.5363826741031685
    - -0.7611965942724955
    - 0.4496174998964728
    - -1.5703065748249565
    - -5.854034888666236
    - -7.213878094885919
    - -3.470224694889064
    - 1.175223350475238
    - 1.8872368131607287
    - -0.4064164413812051
    - -1.2790982413970424
    - 0.32000264712676146
    - 1.2743750703405827
    - 0.08607165354275315
    - -0.6612216207924789
    - 0.9394055675173834
    - 2.447960771207014
    - 0.9789301104464089
    - -1.7212218868429923
    - -1.8061273470825097
    - 0.3143944195515319
    - 0.43354079140718355
    - -2.3942923835049386
    - -3.658738457290779
    - -0.23095641902450803
    - 4.315595248835473
    - 4.587398355073036
    - 1.1002761390239146
    - -1.0213361221009656
    - 0.1040577882725208
    - 1.2040012701199332
    - 0.11031069359898377
    - -0.7861572184139148
    - 0.6602937947956811
    - 2.1520909817282154
    - 0.9053373369346104
    - -1.1866077313688588
    - -0.6214289185188501
    - 1.2614617379258575
    - -0.12103751776529525
    - -4.786739560404411
    - -7.165467404194333
    - -4.319457000518377
    - -0.42189345634799114
    - -0.17038727334869175
    - -1.7702201949348741
    - -0.6597071445876896
    - 2.6340299327697485
    - 3.5487767336602145
    - 1.1745469297478728
    - -0.5630035022398413
    - 0.2873986926387233
    - 0.9990244931842368
    - -0.1426731380928452
    - -0.5032064178676903
    - 1.5643268418425247
    - 2.4912357244474954
    - -1.018723924061605
    - -5.523551697724855
    - -5.1824446356213985
    - -0.7440047239144076
    - 1.5686501939011566
    - -0.2978395349240192
    - -1.752654994761039
    - 0.17804193727202122
    - 2.105281801798914
    - 0.6320910809543142
    - -1.7287184563881497
    - -1.1669602307674598
    - 0.9072032104116348
    - 0.9211479897715238
    - -0.22503758167463234
    - 0.8232294328908272
    - 3.0610013093462447
    - 2.484573069721831
    - -0.26554285318609633
    - -0.11414426022585723
    - 3.623686121013573
    - 5.0837790990049685
    - 1.091142730579855
    - -3.3511084474214576
    - -2.7724833207492194
    - 0.5844195107718326
    - 1.3349558200153702
    - -0.3110891678130006
    - -0.3769014392725229
    - 1.057221938285426
    - 0.5076887358750615
    - -1.6690704994516476
    - -1.459819120305696
    - 1.293978927306116
    - 2.1841324469867915
    - 0.13431386450990124
    - -0.5708959645139319
    - 1.6536492760344559
    - 2.186628200660064
    - -1.5713141544815468
    - -4.532731631079056
    - -1.660208512667932
    - 3.5486054615420417
    - 4.4261817887407915
    - 1.2913392451511259
    - -0.44734219981658463
    - 0.2576654628217583
    - -0.19951216654504472
    - -2.182112129513626
    - -2.1185945422477523
    - 0.1563256981583683
    - 0.6242754565382149
    - -1.2225481246865804
    - -0.9966303253017068
    - 2.2568215508761194
    - 3.4321371258537305
    - 0.24691534535485485
    - -2.0989938970469737
    - 0.39212218769908613
    - 3.457898633326809
    - 1.8806954933881523
    - -1.5433362753190123
    - -1.0570045284554261
    - 2.226587054924834
    - 2.902877533032637
    - 0.7502029178085845
    - -0.0017145645071656632
    - 0.97357904260322
    - 0.22911796106438637
    - -1.8647612174666712
    - -1.4731470181079542
    - 0.8079407394664299
    - 0.32301244164282106
    - -2.595408854964667
    - -2.0963331944052577
    - 2.7797030970607963
    - 5.334137907114222
    - 2.022641188204013
    - -1.785025835406233
    - -1.1319084431569193
    - 0.794265658492494
    - -0.37741139033514337
    - -2.185431239870264
    - -0.6974989390084178
    - 1.6982855237876362
    - 0.8169288471361478
    - -1.5437160097598506
    - -1.364090271544691
    - 0.05294509370482134
    - -0.4809757192416808
    - -0.801376788445409
    - 2.500168467144508
    - 5.868926783516612
    - 3.3756812655826662
    - -2.5517588657492785
    - -4.014795832748277
    - -0.214028956707945
    - 2.0558568103228887
    - 0.32512014433643277
    - -0.5836562485025185
    - 1.4732610956071537
    - 2.388869335520628
    - 0.4373038263950731
    - -0.3079521787090111
    - 1.8525145750553567
    - 2.846132362772165
    - 0.8586809330871136
    - -0.21215797029677821
    - 1.1496312171200909
    - 0.6643862420630323
    - -2.91426030408707
    - -3.827378294415064
    - 0.6854415128267963
    - 4.412213383869964
    - 2.266248914688232
    - -1.1597923949155358
    - 0.014343774554014872
    - 2.96212096482537
    - 2.1540331610668613
    - -0.7499232380824651
    - -1.0258280260386146
    - 0.35633933894452435
    - 0.13924152575491566
    - 0.14993828145951224
    - 3.1287805591227817
    - 5.641202788456401
    - 3.4600917075124853
    - -0.13112115846338285
    - 0.1580753487842289
    - 2.004532853856019
    - 0.34367175685177376
    - -2.177109752843432
    - 0.4193863404615426
    - 5.735469550321493
    - 6.127016779256582
    - 1.5170415804041502
    - -1.217241796998521
    - -0.2832347638539864
    - -0.19788208975247412
    - -1.8536756550351972
    - -1.5043683004278627
    - 0.6281645084424258
    - 0.5201140290153381
    - -1.0659559394743305
    - 0.23540185711784373
    - 2.9850476158709753
    - 1.6735532263934167
    - -2.396136694320769
    - -2.4328106433497774
    - 1.44829492390001
    - 2.02682792579661
    - -1.9943090248868243
    - -3.837436476688209
    - -1.1048962842107508
    - 0.6155853529111485
    - -1.153371649654134
    - -1.78033335023945
    - 0.6414506385700605
    - 1.687023720390023
    - -0.2816762532595516
    - -1.1351761525600697
    - 0.28601648236769833
    - 0.14126388463910827
    - -1.493635707560829
    - 0.1495767648694365
    - 4.143413980654508
    - 3.434677904509416
    - -2.466768745352184
    - -5.314803355008262
    - -1.8475885867522257
    - 1.2895989349878498
    - -0.0959970887612613
    - -1.4973612291343052
    - 0.10876712280576672
    - 0.667550944225437
    - -1.8267785372815721
    - -2.8408823747216565
    - -0.40578167928011993
    - 0.9938884497651725
    - -0.48459788021232403
    - -0.7829532419192657
    - 0.9339591254485548
    - 0.13688559604323783
    - -3.0114901748786083
    - -2.347173421240912
    - 2.2771000896966083
    - 3.012000177639896
    - -2.256033985939357
    - -5.660667792523989
    - -2.892752746682595
    - 0.3942412904155087
    - -0.05723301028937881
    - -0.5978883399101212
    - 1.1013132130224008
    - 1.2433012336655993
    - -1.3512290778673715
    - -2.1132671113335655
    - -0.045627146518554
    - 0.0858855114150272
    - -2.297289644378518
    - -2.146007835082364
    - 0.4941888892034252
    - -0.24944736701116743
    - -4.034734388601367
    - -3.605252219449582
    - 1.6452956429626788
    - 3.8069965452083143
    - 0.5787083360976404
    - -1.2021100983018203
    - 1.2951954315266971
    - 2.5729865452828578
    - 0.25353504723461845
    - -1.075963783516733
    - 0.19603230074069194
    - 0.30523909714757325
    - -0.8344356442574139
    - 0.600020145823014
    - 2.9815881336304892
    - 1.1126238028779705
    - -2.8083440904167256
    - -1.9713410747875326
    - 2.218024164752915
    - 2.460710093111887
    - -0.6963038780599147
    - -0.39512097161977644
    - 2.7866653945521422
    - 1.9741432559579226
    - -2.4157869096080056
    - -3.3639197545878594
    - -0.29091048475616116
    - 1.0493252201807464
    - -0.020419053880680927
    - 0.35890885000726935
    - 1.190988185952746
    - -0.8108372370261882
    - -2.730429663439421
    - -0.5371600195728125
    - 1.9426626169942267
    - 0.01496114032346318
    - -1.8072125349846733
    - 2.0203557922648834
    - 6.506308691310258
    - 4.44827381185667
    - -0.603774310748441
    - -1.4015855931858903
    - 0.1604689251847148
    - -1.2735365638188176
    - -3.3883869266082973
    - -1.8288155964718247
    - 0.43901370750731206
    - -0.46710715529817226
    - -1.3179587517628615
    - 0.9304737347359238
    - 2.3654357875773577
    - 0.454717968419224
    - -0.480581098527292
    - 0.9990969434501296
    - -0.7331051367725787
    - -6.31653303632984
    - -7.320632248202905
    - -0.7980858586094542
    - 4.5652862719506775
    - 3.073637921406483
    - 0.15303029559905715
    - 0.3510930245132912
    - 0.18044876276642874
    - -2.0010085581248287
    - -1.7901384812120154
    - 1.2705382672355525
    - 1.7490368440156967
    - -0.8617804865831272
    - -1.3975533045058937
    - 0.08762186093507619
    - -0.8911054528395818
    - -2.447416849036829
    - 0.5327383061178328
    - 4.513844075547735
    - 2.317208369609994
    - -2.93052126787477
    - -2.8425784146919906
    - 0.9768957248541652
    - 0.7866027739691782
    - -2.556378411697819
    - -2.5431557340881916
    - 0.09870935854331937
    - 0.43981926353992756
    - -0.2061495360449278
    - 1.390655193519706
    - 2.209575428733617
    - -0.3723342057027371
    - -1.7441333452742296
    - 0.8424370080289649
    - 1.9055394791657292
    - -1.2455193901865278
    - -2.3424592397510624
    - 1.2979550136204137
    - 2.6047210739417257
    - -1.590493065942821
    - -4.051404695263514
    - -1.0146483955063639
    - 1.1207753542099044
    - -1.1218374515604634
    - -2.282736003128515
    - 0.15114114535191633
    - 1.3534079598311957
    - -0.05247434002750298
    - 0.09481428157864918
    - 1.5460829152613504
    - 0.527262012525138
    - -0.4803657456893298
    - 2.990658935104191
    - 6.458413552940511
    - 3.347931041275292
    - -2.0061702339839833
    - -1.8706343698576582
    - 0.6871128533290422
    - -1.18343713830994
    - -4.417569631147843
    - -2.92998959317026
    - -0.02700969691181847
    - -1.1755466549022227
    - -3.1160512669591793
    - -1.4865505215047967
    - 0.22695582350146296
    - -1.1258498573379307
    - -1.7154415200001756
    - 0.2676868991519308
    - 0.614162397370415
    - -0.6053873345061418
    - 2.114568686888397
    - 7.057769260014558
    - 6.015553243310391
    - -0.17398664492623991
    - -2.198815538309589
    - 0.843483590833138
    - 1.0373239936657521
    - -2.3833685531994457
    - -2.7002957328617154
    - 0.1797442748373062
    - 0.6001780348471415
    - -0.7279600157450606
    - 0.46579616374003313
    - 1.8200387201598884
    - -0.2983625898732887
    - -1.969175465897197
    - 0.4266635832919962
    - 2.308912778713875
    - 0.5920924512450859
    - 0.20794735012753696
    - 2.5282410905275077
    - 0.5666998711182548
    - -6.613198580010523
    - -9.370621117944651
    - -4.149506508797872
    - 0.4752355801176501
    - -0.35464509843838027
    - -1.3356056128260634
    - 0.12570625656679546
    - 0.08415486440813282
    - -1.1794933143925568
    - 0.6134768849929582
    - 3.2987694523371864
    - 1.9056997038290215
    - -0.6265669833248225
    - 0.6200587208761136
    - 2.221185296595495
    - 0.4223034095204612
    - 0.38373246345503087
    - 5.394577616597666
    - 8.02445269696907
    - 3.4785125449148
    - -0.7899478039807747
    - 0.9628611574738134
    - 2.9478323032553355
    - 0.6964728574454313
    - -0.7938867022873379
    - 1.1874978767290445
    - 1.7667314768408564
    - -0.33576186556423426
    - -0.6173649048657471
    - 0.5377511096675516
    - -0.8809880012870113
    - -2.206871700554992
    - 0.7817150933620263
    - 3.1411773366484614
    - -0.6504189520040135
    - -4.737578106463934
    - -2.400800350110346
    - 1.09668751506916
    - -0.6056485091850116
    - -2.7428543953580444
    - -0.3379405081593789
    - 1.4591031629138713
    - -1.2839894923936994
    - -3.0763874726638276
    - -0.6705947130307843
    - 0.934664256226706
    - -0.21986663795893008
    - 0.02791239493865142
    - 1.4043848089214426
    - 0.07190203657665434
    - -0.9948257059129593
    - 2.698173106268665
    - 5.7997781285024335
    - 2.018442707328751
    - -2.7322763923365727
    - -0.8678846059030111
    - 2.6825558067554325
    - 0.9378026827359262
    - -1.8562656717632309
    - -0.339984476300877
    - 1.1869462426293114
    - -0.8970706141194795
    - -1.8665664478301938
    - 0.384219026839011
    - 0.7846989570281808
    - -1.4162286918409666
    - -1.169906948509263
    - 0.7704937631132492
    - -0.33832522975536594
    - -1.8597711202289182
    - 0.6795951893667744
    - 2.211087041007168
    - -2.4924670636893436
    - -6.4987581618802
    - -2.688721088039183
    - 2.602999651743487
    - 1.720846022907375
    - -0.9674591388235391
    - 0.09944806943822629
    - 1.2639276822798942
    - -0.1924794057633496
    - 0.051867932274581204
    - 2.5930594114628165
    - 2.202327553302902
    - -0.5166271779218722
    - -0.3536028622646777
    - 0.6234911950999172
    - -2.384864817453909
    - -5.185363035365182
    - -2.491849123421823
    - 0.47146187175245396
    - -1.3521301123200975
    - -1.6828697966177335
    - 4.084217525248498
    - 8.10333398265689
    - 4.478188737517638
    - -0.16603672079916543
    - -0.21704582734148295
    - 0.2435306310025517
    - -1.1246491468540902
    - -0.7144090514154613
    - 0.5904093153141429
    - -1.5534129924764732
    - -4.137453624057608
    - -2.0453427734140344
    - 0.7436751792013296
    - -0.5495873997505489
    - -0.9009458889283978
    - 3.383931072584688
    - 5.179879401536669
    - 0.4989010070605524
    - -2.6642123403787883
    - 0.1470673940307463
    - 1.7600858919962474
    - -1.2820917438782686
    - -2.587699001461569
    - -0.24990916631314752
    - 0.04034740442922552
    - -1.9436834143140693
    - -1.337730941060002
    - 0.3252318553796535
    - -0.8264268768763621
    - -1.4544236382707716
    - 1.0689348592923018
    - 1.253218985481089
    - -2.502093553336866
    - -2.2145912057518387
    - 3.8155803056453395
    - 5.892749307485299
    - 1.0082955977278716
    - -2.0051346889181354
    - 0.04821033580469293
    - 0.8792400970169894
    - -0.19553908788774202
    - 1.9797947413240546
    - 5.109596034239314
    - 3.3369067173270475
    - -0.3156101246560487
    - -0.3702948647604079
    - 0.588044105559153
    - -0.1353260780785828
    - 1.1248375703637477
    - 3.9045471581101046
    - 1.7576457782875883
    - -3.3138342531672906
    - -2.0296949594716627
    - 4.111484608457285
    - 4.8713869802269745
    - 0.5048615718061789
    - -0.4600457866726406
    - 1.3264771750856046
    - -0.3659373635322258
    - -3.0225783488058338
    positive_zeros:
    - '1.636624486434251565045587561326'
    - '2.28067769122951466579069607259'
    - '3.29071949461946493183000930268'
    - '4.77929747731488450062258956810'
    - '5.30514770019903503866695576427'
    - '6.17487961500400491135368922197'
    - '7.00929369639632090356555053576'
    - '7.69790714489716460830924391918'
    - '8.57636680551127522440834284980'
    - '9.60934563560129520640585560962'
    - '10.33255054903430616042635659839'
    - '11.2586380719088890362610553655'
    - '12.15112865518868979914256266029'
    - '12.67037256399706843298380434614'
    - '13.026693700403614611588749558863'
    - '14.55746285181581989640103220110'
    - '14.7596468561677917000625706934'
    - '15.9666210339699618821483068590'
    - '16.67891394296011095169748258542'
    - '17.31842477096708300928404011004'
    - '18.20517608091882328355919780619'
    - '18.76124738292038980642490743043'
    - '19.29982044152223834533438499859'
    - '20.22560405026550161174626605302'
    - '21.20346471578492084966971855153'
    - '21.90460147487386301369607864402'
    - '22.6362505848004016564270974535'
    - '23.22911334403265746113591854550'
    - '23.95279860042853689071847906987'
    - '24.70887091431681463329039246715'
    - '25.45463255086234244535174459180'
    - '25.7713624188314082507322172455'
    - '27.08977397771870131616628690817'
    - '27.75871519822070460183996987803'
    - '28.38560545396964601869706932393'
    - '29.07984073878636021616608351969'
    - '29.54755293012477826092614900437'
    - '30.41670638309843207353535101960'
    - '31.19988800226034610058334906270'
    - '31.62684371651809139309626394827'
    - '32.51421003068972741716079490286'
    - '33.54346522651269981992563145523'
    - '34.0446736751119203601808585166'
    - '34.70893331430507936280188085843'
    - '35.21174291757879366071873525453'
    - '36.05285421007519225635949384728'
    - '36.65364575744984464290079187523'
    - '37.17698852587555864695784444726'
    - '38.50686848962275922330471699891'
    - '38.710894049604245192364698299650'
    - '39.44138135163731857676806033708'
    - '40.46458853821529036586471762396'
    - '40.873394878112982681850616241936'
    - '41.53098247614128002235833242441'
    - '41.97954780570305131916009275764'
    - '42.7480695115729181767613868460'
    - '43.80657765233136054492986916293'
    - '44.33993496823285058776087138707'
    - '44.98028988073896469789666208056'
    - '45.69510826321521509435528845459'
    - '46.41277825830528024603538094961'
    - '47.09502270101476396573734955123'
    - '47.35935956480956348227717477606'
    - '48.40089659528901668640387928403'
    - '48.7634915651786961035495843534'
    - '49.74950382241968617411107411739'
    - '50.56309177039260952815846107113'
    - '51.18749044492303582544253645158'
    - '51.64562982075733661961242127788'
    - '52.26142288915416604408916968312'
    - '52.98463929697133753679669552604'
    - '53.7696370624080571407021307768'
    - '54.16835634275476186858665201870'
    - '54.8934146703764624361098321492'
    - '55.7181242582921565635355047391'
    - '56.71956104664271925279463323283'
    - '57.09445458738344873986563681361'
    - '57.45976328717123601944461471612'
    - '58.414157510029676234167154888445'
    - '58.86833601838039700557427643303'
    - '59.485487462295539802713691918581'
    - '60.33215809851864258299813608891'
    - '60.90657435727084704289327577135'
    - '61.71552485293939313668806073095'
    - '62.290964832456484625637264068194'
    - '63.28991226782815837777659374563'
    - '63.43837997066247664879478948998'
    - '64.096646157343417421355069766740'
    - '64.87766633552262173272095376634'
    - '65.35059269275401512456400045688'
    - '66.08625971124285322830600101634'
    - '67.00905556677521504996047242457'
    - '67.64699791882274348155656100304'
    - '68.07395874735913137714845296313'
    - '68.824668431303856022764805867267'
    - '69.47263042879428430950152984918'
    - '70.28972510441549162774696035655'
    - '70.48654028926223144629660121059'
    - '71.05227316595382652653876926066'
    - '72.04707125910113128109108351080'
    - '72.828608780775617718822641155092'
    - '73.48430674420584745386808693193'
    - '73.86936844216340444986249130568'
    - '74.75722876111864206981651000871'
    - '75.06817885916201454160903210648'
    - '76.07978263191421341629413280387'
    - '76.32604127691985067980695477563'
    - '76.94507660293402101885854612288'
    - '77.7742864484349155377678776161'
    - '78.61066917397006665955408784166'
    - '79.06110165076960794537976310285'
    - '79.90576087795200660309884734718'
    - '80.525399587487806103500090732535'
    - '80.99229041126318304730295370855'
    - '81.21293528607679165153499365667'
    - '82.481235657016671833753435344564'
    - '82.78830883594727421902992823489'
    - '83.46992482796929450742130062733'
    - '84.03674013041304867983890540499'
    - '85.11395288323748749738470745272'
    - '85.71039451163867820438938807773'
    - '85.877558867213394313068396400966'
    - '86.772144439585367711932686771066'
    - '87.278382816233228371592195897256'
    - '87.78690187872119452681570519971'
    - '88.56155604715242968702588332666'
    - '89.259317080279699002379228967568'
    - '89.86023189640660422639398037315'
    - '90.74410611973404691244882418666'
    - '91.087499723196454605361441112422'
    - '91.80198490081025289013905284068'
    - '92.46107014118800753401005774656'
    - '93.062723575070530630141085654050'
    - '93.46426256550272516577083931235'
    - '94.05002869621101615883566504596'
    - '94.877517958528599432573637482238'
    - '95.758720003984288613373183553697'
    - '96.23792783055178792963462374451'
    - '96.85826805818681781894979076876'
    - '97.296001669504831488253720799214'
    - '98.17204645938491202918661715489'
    - '98.665604065193265019362045237150'
    - '99.20617485922780023179681621184'
    - '99.70243280108229165587906592722'
    - '100.47465350150216438270766621482'
    - '101.134057567927999027159217845564'
    - '102.1209215450855225774226079316'
    - '102.487409863440571110378314164020'
    - '102.94661157249432093505624289892'
    - '103.59956315881433802803137586885'
    - '104.38262643423655082684379363403'
    - '104.70204990565378299302073001833'
    - '105.554993150742691812103166240041'
    - '105.91229656252027372049849254388'
    - '106.78108721651255476221106833730'
    - '107.5500131891188789663366054833'
    - '107.99436307892540804659344886201'
    - '108.780021139227656829698918691253'
    - '109.33155342689816143958655139200'
    - '109.76202104380368091352944823693'
    - '110.2415224283205447979144383789'
    - '111.01775421709009239930400343137'
    - '111.70523923097015148310709450804'
    - '112.42201998734043679739643058919'
    - '112.85347396863932441950170707106'
    - '113.579508160735987083962241315957'
    - '114.4060622711905468473567052551'
    - '114.99224822815285480682341396663'
    - '115.212968321834766372205130333575'
    - '115.84929196932982671745711183273'
    - '116.60970900576355771844825778440'
    - '117.18892185884586510643187123075'
    - '117.69479336613849165432630877933'
    - '118.7021920927503407398476906851'
    - '119.31417527963472641045838121681'
    - '119.50430767744595428147863016705'
    - '120.52516961018646163960516107753'
    - '120.85548957458271054211677157196'
    - '121.46074560861023930701522080818'
    - '122.25298722701676035111649164907'
    - '122.61332823229084113817361874799'
    - '123.06928846715831461833025446820'
    - '124.09497014721470722196826870722'
    - '125.04684477914526294020066265181'
    - '125.180716661797026654528798591474'
    - '125.65741007026792004583331575773'
    - '126.43416403429290471208676368744'
    - '127.0862084136753143243561218025'
    - '127.78159622820468374731120916417'
    - '127.970844799959194962458694041887'
    - '128.715469832663893328061571757831'
    - '129.501866926206995610623381363871'
    - '130.221361954112745640767744780413'
    - '130.7005889395901964119233462406'
    - '131.54737480300130524833854726057'
    - '132.007976310827465635666739118367'
    - '132.26855316621627814881216931023'
    - '133.08798815805814881314225171867'
    - '133.66724154285937542738175277302'
    - '134.26917735616012919625906586899'
    - '134.9033198242811033608850454410'
    - '135.525869938033502269551014473276'
    - '136.335996903061546512354503830735'
    - '136.75569138508828390881717463843'
    - '137.48300306354767426864368261847'
    - '138.11236565928145220323485599278'
    - '138.41671690041232357270620106147'
    - '139.14433214918467777543082997453'
    - '139.4581212117621451883306757860'
    - '140.48622898931134866785187775273'
    - '141.13084705916348415240531237997'
    - '141.455059649234457453449484457614'
    - '142.50782846047567926786060725388'
    - '142.63105247993325897552735645419'
    - '143.64665481270947705762818889926'
    - '143.86277598531747676529408012927'
    - '144.646301604999439659578086926743'
    - '145.12572060566082669439285941613'
    - '145.459440877129400586082986479104'
    - '146.55268652270580669954320529'
    - '147.10516067486429933340201016840'
    - '147.602703311222501629559188656108'
    - '148.41462958245626415039547662507'
    - '148.86983981249550582064596728516'
    - '149.30739045475633738518347909383'
    - '149.96930574623663591444136347272'
    - '150.58485427820394455437852142984'
    - '151.36198547571863584199714126283'
    - '151.51630526006789310911466307679'
    - '152.21738550773294678190291247804'
    - '153.373145750357172722061568562958'
    - '153.69592331020545763383578644311'
    - '154.34787940816504446771422813951'
    - '154.70574637745155953991018481561'
    - '155.25109409011766282438100250800'
    - '156.13369704592766090988872655863'
    - '156.48308331936663375961746218291'
    - '157.2547799053797531916995601186'
    - '157.45058475146774489599511047952'
    - '158.64540882152299354277566189226'
    - '158.968482379716177095471317987947'
    - '159.76421215979638948691402703592'
    - '160.15773985174544565317494068711'
    - '160.885857527301250861555966676846'
    - '161.38549712288190468327254012466'
    - '161.75232760570258432902762619491'
    - '162.441289700682581963777413036282'
    - '163.08894084558991198432161665551'
    - '163.92137217323698679048529565188'
    - '164.31755447842190777682135237165'
    - '165.03091228704618088091621528620'
    - '165.51289627686336711070552226156'
    - '166.323840232045887008944517487840'
    - '166.82038147156063859656899350122'
    - '167.18177447110264421385245732132'
    - '167.82207121258800473168245512524'
    - '168.25245606416661858767514810662'
    - '169.16608309867860047610844358218'
    - '169.74736786199648720437489463998'
    - '170.39036691719167711361175010012'
    - '170.97638202537380480550231578007'
    - '171.45871877484133001123361542253'
    - '172.13747797119261402239650790181'
    - '172.61740333954322116642733250874'
    - '173.28728328214487880668137931688'
    - '173.70556171650884390320355345405'
    - '174.31582415526041357378640507328'
    - '174.87153616788619085506242451774'
    - '175.75552177542181055507170917021'
    - '176.41215584751394114850597817840'
    - '176.86076671522046629931851543177'
    - '177.46172007084991858885737056313'
    - '177.80462272533008460653919795506'
    - '178.67666008974260670047348167015'
    - '179.12621445406269527394898215716'
    - '179.48744040808946982276163775862'
    - '180.52221637907437376875286442383'
    - '180.77870728296063879158285186527'
    - '181.368792920989956047317404834508'
    - '182.479386161654179069871713468420'
    - '182.86766462947611136065154313877'
    - '183.19566552760697258091286401743'
    - '183.874027745767710450879459478033'
    - '184.216462760712966083168499223259'
    - '185.18248995185834017851411788279'
    - '185.54847164514653841544415388602'
    - '186.02655501408763869169625666525'
    - '186.902954569691515035328531618295'
    - '187.487859886657639923250825367'
    - '188.0146606192052024437668035356'
    - '188.78856163061053960036354124665'
    - '189.06998865157028289754679834875'
    - '189.89468474647702638865020344213'
    - '190.16915496867046209384128736035'
    - '190.82037460611190670778747672160'
    - '191.36566224572461405490305339867'
    - '192.00295642501011370800854182519'
    - '192.872219157904763104860220318206'
    - '193.4315213580040657007170361944'
    - '193.96022074659554974412699956947'
    - '194.15485673229854085533300738069'
    - '195.2721208351276896298730858070'
    - '195.704614475509736078683675837343'
    - '196.186899675439424532090984301644'
    - '196.39747289263147846284125960814'
    - '197.28679516373097502774303216834'
    - '197.9167116947612274512983408528'
    - '198.796995257100408759934291183209'
    - '199.137854911255464109790806804218'
    - '199.652929273592290340369832591905'
    prelabel: 1-1480-1480.867-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.87309110492009
    root_angle: -0.9165216589320255
    root_number: -0.965807819692959368331502860586-0.259259050796557700719743919675*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.458260829466'
      prec: 50
    spectral_label: r0-0
    st_group: mu(36)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.636080981635637716809885927225+0.00586912524668895992590945244298*I
    z1:
      __RealLiteral__: 0
      data: '1.63662448643'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.28067769123'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.29071949462'
      prec: 44
- - algebraic: true
    analytic_conductor: 6.87309110492009
    bad_primes:
    - 2
    - 5
    - 37
    central_character: '1480.867'
    conductor: 1480
    conductor_radical: 370
    degree: 1
    id: 404112
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/1480/867
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    is_instance_DIR: true
    is_instance_ECNF: false
    is_instance_ECQ: false
    is_instance_G2Q: false
    is_instance_HMF: false
    is_instance_MaassGL3: false
    is_instance_MaassGL4: false
    is_instance_MaassGSp4: false
    is_instance_NF: false
    label: 1-1480-1480.867-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-1480-1480.867-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.87309110492009
    root_angle: -0.45826082946601276
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.63662448643'
      prec: 44
- - Lhash: dirichlet_L_1480.867
    Lhash_array:
    - dirichlet_L_1480.867
    id: 2124919
    label: 1-1480-1480.867-r0-0-0
    type: DIR
    url: Character/Dirichlet/1480/867
label_cols:
- label
- label
- label
labels:
- 1-1480-1480.867-r0-0-0
- 1-1480-1480.867-r0-0-0
- 1-1480-1480.867-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T11:26:32.717644'